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Finding the Third Proportional to 110,508 and 169,578

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Solution

The third proportional to 110,508 and 169,578 is: 260,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,508 : 169,578 = 169,578 : x
  2. Step 2: Convert to fraction form
    110,508/169,578 = 169,578/x
  3. Step 3: Cross multiply
    110,508x = 169,578 × 169,578
  4. Step 4: Simplify right side
    110,508x = 28,756,698,084
  5. Step 5: Solve for x
    x = 28,756,698,084/110,508
  6. Step 6: Final answer
    x = 260,222.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.